Question

You are trying to decide how much to save for retirement. Assume you plan to save $8,000 per year with the first investment made one year from now. You think you can earn 8.0​% per year on your investments and you plan to retire in 37 ​years, immediately after making your last $8,000 investment.

a. How much will you have in your retirement account on the day you​ retire?

b.​ If, instead of investing $8,000 per​ year, you wanted to make one​ lump-sum investment today for your retirement that will result in the same retirement​ saving, how much would that lump sum need to​ be?

c. If you hope to live for 26 years in​ retirement, how much can you withdraw every year in retirement​ (starting one year after​ retirement) so that you will just exhaust your savings with the 26th withdrawal​ (assume your savings will continue to earn 8.0​% in​ retirement)?

d.​ If, instead, you decide to withdraw $325,000 per year in retirement​ (again with the first withdrawal one year after​ retiring), how many years will it take until you exhaust your​ savings? (Use​ trial-and-error, a financial​ calculator: solve for​ "N", or​ Excel: function​ NPER)

e. Assuming the most you can afford to save is $1,600 per​ year, but you want to retire with $1,000,000 in your investment​ account, how high of a return do you need to earn on your​ investments? (Use​ trial-and-error, a financial​ calculator: solve for the interest​ rate, or​ Excel: function​ RATE)

Answer 1

Given,

Annual investment (C) = $ 8000

Interest rate (r) = 8% or 0.08

Years (n) = 37

Solution :-